Entropic measures of joint uncertainty: Effects of lack of majorization

We compute Renyi entropies for the statistics of a noisy simultaneous observation of two complementary observables in two-dimensional quantum systems. The relative amount of uncertainty between two states depends on the uncertainty measure used. These results are not reproduced by a more standard du...

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Detalhes bibliográficos
Autores: Luis, Alfredo, Bosyk, Gustavo Martín, Portesi, Mariela Adelina
Tipo de documento: artigo
Estado:Versão publicada
Data de publicação:2016
País:Argentina
Recursos:Universidad Nacional de La Plata
Repositório:SEDICI (UNLP)
Idioma:inglês
OAI Identifier:oai:sedici.unlp.edu.ar:10915/127893
Acesso em linha:http://sedici.unlp.edu.ar/handle/10915/127893
Access Level:Acceso aberto
Palavra-chave:Física
Quantum uncertainty
Rényi entropies
Majorization
Complementarity
Descrição
Resumo:We compute Renyi entropies for the statistics of a noisy simultaneous observation of two complementary observables in two-dimensional quantum systems. The relative amount of uncertainty between two states depends on the uncertainty measure used. These results are not reproduced by a more standard duality relation. We show that these behaviors are consistent with the lack of majorization relation between the corresponding statistics.